Differential equations for the osculating elements of the intermediate orbit of the problem of three fixed centers

Details Differential equations for the osculating elements of the intermediate orbit of the problem of three fixed centers Differential equations for the osculating elements of the intermediate orbit of the problem of three fixed centers

Aug 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983azh....60..771a&link_type=abstract

(Astronomicheskii Zhurnal, vol. 60, July-Aug. 1983, p. 771-774) Soviet Astronomy (ISSN 0038-5301), vol. 27, July-Aug. 1983, p. 4

Astronomy and Astrophysics

Astronomy

Differential Equations, Orbital Elements, Perturbation Theory, Satellite Orbits, Hamilton-Jacobi Equation, Orbit Calculation, Orbit Perturbation, Polynomials

Scientific paper

The perturbed motion of a small-mass satellite in the plane of three fixed actively gravitating material centers is investigated analytically. The analysis of Arazov (1976) is extended, deriving differential equations for the osculating elements of the intermediate orbit as continuous functions of time. A parallel is noted to the results of Samoilova-Yakhontova (1929, 1930, 1931, 1936).

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